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A stroll on the beach: finding a route round a connected region
You are standing on the beach of an island, which you must explore by walking all the way round its coast. Each step is in one o...
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Determine the average number of rounds for the following game.
Each round a uniformly distributed random number is picked between 0 and 1. The game ends when the sum of the random numbers is ...
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Estimate Pi by Monte Carlo method
We can estimate the value of pi with random number by Monte Carlo method. Suppose we have a square of side length of 1 and a q...
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summation of the reciprocals
Determine the summation of the reciprocals of numbers with length equal to N,in the meanwhile there is a digit K excluded from t...
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Find the centroid of triangle
Imagine that you want to calculate the *centroid* of some _triangles_ given in matrix form. First the coordinates of the vertice...
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Where's Waldo?
Find the string 'Waldo' in the character matrix given and return the indices of where you found him as a 4x2 matrix where the el...
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Six Steps to PCA - Step 2: Covariance
*Previous problems in this series* * <http://www.mathworks.co.uk/matlabcentral/cody/problems/2043-six-steps-to-pca-step-1-cen...
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Give a matrix that matches itself when rotated
Given n and s, return a n-by-n matrix a of integers such that sum(sum(a == rot90(a))) is equal to exactly s. The integer...
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Encoding Google Maps Polylines
This problem is based on the Google Polyline Encoder algorithm. This is how Google Maps encodes a line for display on a map. You...
3 hours ago
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Get to a number faster.
If you start with $1 and, with each move, you can either double your money or add another $1, what is the smallest number of mov...
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Quine : write a quine in MATLAB
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Play Games of Beggar My Neighbor
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Fast Fourier transform algorithm
Your task is to implement the Fast Fourier transform algorithm, without using builtin MATLAB fft commands e.g. fft, fft2, or har...
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Find the centre of an arc and its radius
Given two points on an arc (x0,y0) and (x1,y1) and the angle between them, alpha. Return the centre of the circle and the radiu...
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X O X Oh!
_This follows on from problem 44850 - X O X O_ <https://www.mathworks.com/matlabcentral/cody/problems/44850-x-o-x-o> On a...
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Moving Median Absolute Deviation
The median absolute deviation (MAD) is defined as MAD = median(abs(A − median(A))) for a rolling window of length n. For examp...
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Writing Error Messages
Well written functions check inputs to make sure the input is valid. The function ErrorCheck takes three arguments: * a - a s...
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Exact binary matrix factorization
Given a binary-valued (only ones and zeroes) MxN matrix C, and K (where K<M and K<N) find a binary-valued MxK matrix A and a bin...
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rot45 : a different aproach
Inspired by problem 1840. http://www.mathworks.com/matlabcentral/cody/problems/1840-rotate-matrix-clockwise-45-degree Given an...
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Design matrix from eigenvalues
Write a function that takes one input argument n and outputs a (n x n) square matrix A with the following properties: -A has...
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Mix it up!
Given an input string S, return a new string B, that is created by taking one character from the front and then the end iterativ...
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Check if integer is a prime number
Check if integer i is a prime number. Returns logical true '1' if it is.
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Find the repeating decimal pattern!
Write a function that takes one double input value and returns only the repeating decimal, if any, as a string. Only decimals f...
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Circle and Quadratic
Imagine the quadratic curve with equation y=y(x)=ax^2+bx+c On the concave side of this curve there is a circle of radius...
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Remove TeX from string
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Pixel density
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Create the Ulam spiral
Have you ever seen this wonderful spiral ? The Ulam Spiral is arranging prime numbers in a clockwise spiral starting in 0. Give...
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Wavy gravity
In a parallel universe the gravity works very strangely. Indeed, gravity is equal to: g = sin( (pi/2)*t/60 ) [m/s^2], where t i...
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